Results 31 to 40 of about 11,022 (263)
Disjointly weak compactness in Banach lattices
Positivity, 2023 We give some characterizations of disjointly weakly compact sets in Banach lattices, namely, those sets in whose solid hulls every disjoint sequence converges weakly to zero. As an application, we prove that a bounded linear operator from a Banach space to a Banach lattice is an almost $(L)$ limited operator if and only if it is a disjointly weakly ...
Bo Xiang, Jin Xi Chen, Lei Li
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Mapping the evolution of mitochondrial complex I through structural variation
FEBS Letters, EarlyView.Respiratory complex I (CI) is crucial for bioenergetic metabolism in many prokaryotes and eukaryotes. It is composed of a conserved set of core subunits and additional accessory subunits that vary depending on the organism. Here, we categorize CI subunits from available structures to map the evolution of CI across eukaryotes. Respiratory complex I (CI)
Dong‐Woo Shin +2 more
wiley +1 more source
In situ molecular organization and heterogeneity of the Legionella Dot/Icm T4SS
FEBS Letters, EarlyView.We present a nearly complete in situ model of the Legionella Dot/Icm type IV secretion system, revealing its central secretion channel and identifying new components. Using cryo‐electron tomography with AI‐based modeling, our work highlights the structure, variability, and mechanism of this complex nanomachine, advancing understanding of bacterial ...
Przemysław Dutka +11 more
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Compactness and countable compactness in weak topologies [PDF]
Studia Mathematica, 1995 Summary: A bounded closed convex set \(K\) in a Banach space \(X\) is said to have quasi-normal structure if each bounded closed convex subset \(H\) of \(K\) for which \(\text{diam}(H)> 0\) contains a point \(u\) for which \(\| u- x\|< \text{diam}(H)\) for each \(x\in H\).
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FEBS Letters, EarlyView.The Ile181Asn variant of human UDP‐xylose synthase (hUXS1), associated with a short‐stature genetic syndrome, has previously been reported as inactive. Our findings demonstrate that Ile181Asn‐hUXS1 retains catalytic activity similar to the wild‐type but exhibits reduced stability, a looser oligomeric state, and an increased tendency to precipitate ...
Tuo Li +2 more
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Weak compactness of biharmonic maps
Electronic Journal of Differential Equations, 2012 This article shows that if a sequence of weak solutions of a perturbed biharmonic map satisfies $Phi_ko 0$ in $(W^{2,2})^*$ and $u_kightharpoonup u$ weakly in $W^{2,2}$, then $u$ is a biharmonic map. In particular, we show that the space of biharmonic
Shenzhou Zheng
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Regularity theorems for a class of degenerate elliptic equations
Electronic Journal of Qualitative Theory of Differential Equations, 2016 In this paper we study the regularity of a class of degenerate elliptic equations with special lower order terms. By introducing a proper distance and applying the compactness method, we establish the Hölder type estimates for the weak solutions.
Qiaozhen Song, Yan Wang
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Weak compactness of AM-compact operators
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2012 An operator \(T:E\rightarrow X\) from a Banach lattice \(E\) into a Banach space \(X\) is called AM-compact if \(T(B)\) is relatively compact for each order bounded subset \(B\) in \(E\). In general, AM-compact operators and weakly compact operators are distinct classes of operators.
Aqzzouz, Belmesnaoui +2 more
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The $\rm b$-weak compactness of weak Banach-Saks operators [PDF]
Mathematica Bohemica, 2013 Let \(T\:X\to Y\) be a bounded operator between Banach spaces. \(T\) is called weakly Banach-Saks if, for each weakly null sequence \((x_k)\) in \(X\), the sequence \((Tx_k)\) has a Cesàro convergent subsequence. If \(X\) is, moreover, a Banach lattice, then \(T\) is called \(b\)-weakly compact if it maps each \(b\)-order bounded set in \(X\) (i.e., a ...
Aqzzouz, Belmesnaoui +3 more
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Cell wall target fragment discovery using a low‐cost, minimal fragment library
FEBS Letters, EarlyView.LoCoFrag100 is a fragment library made up of 100 different compounds. Similarity between the fragments is minimized and 10 different fragments are mixed into a single cocktail, which is soaked to protein crystals. These crystals are analysed by X‐ray crystallography, revealing the binding modes of the bound fragment ligands.
Kaizhou Yan +5 more
wiley +1 more source